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Finding the Fourth Proportional to 382,173.32, 527,395.38 and 212,403.80

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Solution

The fourth proportional to 382,173.32, 527,395.38 and 212,403.80 is: 293,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,173.32 : 527,395.38 = 212,403.80 : x
  2. Step 2: Convert to fraction form
    382,173.32/527,395.38 = 212,403.80/x
  3. Step 3: Cross multiply
    382,173.32x = 527,395.38 × 212,403.80
  4. Step 4: Simplify right side
    382,173.32x = 112,020,782,814.44
  5. Step 5: Solve for x
    x = 112,020,782,814.44/382,173.32
  6. Step 6: Final answer
    x = 293,115.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.